Information on Result #684885
Linear OA(7100, 2410, F7, 29) (dual of [2410, 2310, 30]-code), using construction X applied to C([0,14]) ⊂ C([0,12]) based on
- linear OA(797, 2402, F7, 29) (dual of [2402, 2305, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(789, 2402, F7, 25) (dual of [2402, 2313, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(73, 8, F7, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,7) or 8-cap in PG(2,7)), using
- extended Reed–Solomon code RSe(5,7) [i]
- oval in PG(2, 7) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(7100, 2269, F7, 2, 29) (dual of [(2269, 2), 4438, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7100, 2269, F7, 3, 29) (dual of [(2269, 3), 6707, 30]-NRT-code) | [i] | ||
| 3 | Digital (71, 100, 2269)-net over F7 | [i] | ||